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A new reverse isoperimetric inequality and its stability

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Publication:2911488
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DOI10.7153/MIA-15-64zbMath1257.52005OpenAlexW2049647765MaRDI QIDQ2911488

Xiang Gao

Publication date: 31 August 2012

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-15-64


zbMATH Keywords

stabilityFourier seriesreverse isoperimetric inequality


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38)


Related Items (9)

Translative containment measure and symmetric mixed isohomothetic inequalities ⋮ Bonnesen-style symmetric mixed inequalities ⋮ On Bonnesen-style symmetric mixed isohomothetic inequality in \(\mathbb{R}^2\) ⋮ Reverse Bonnesen-style inequalities on surfaces of constant curvature ⋮ Reverse Bonnesen style inequalities in a surface \(\mathbb{X}_\epsilon ^2\) of constant curvature ⋮ The lower bounds of the mixed isoperimetric deficit ⋮ A sharp reverse Bonnesen-style inequality and generalization ⋮ Stabilities of the generalized mixed width and dual mixed radial inequalities ⋮ Some Bonnesen-style Minkowski inequalities







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